{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Three-Dimensional Plotting in Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib was initially designed with only two-dimensional plotting in mind.\n",
    "Around the time of the 1.0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for three-dimensional data visualization.\n",
    "Three-dimensional plots are enabled by importing the `mplot3d` toolkit, included with the main Matplotlib installation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits import mplot3d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once this submodule is imported, a three-dimensional axes can be created by passing the keyword `projection='3d'` to any of the normal axes creation routines, as shown here (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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phUKhgM/nQ11dnZ9RI22ppb5tsZKUlrHEAiV4INGFguO4FwBcBCCP4zgdgH8BoAAAQsgvAbyB5RLZIJbLZJ+OdMw1S/DAkJyKA8JN7owVMpkMVqsVx48fR21tLUsURYLQEH1qagqjo6PMUGJkZCTkMfjtk1VVVazWSi92hULB+seFZqcTCTFr1TTJFsz0wmg0Mhsn6upCbZyEno/YWXRKbJvNFlOylxBya4S/EwCfj+aYa5LgfN221WpFV1cXW+ESfXERQqDX62EwGLB79+6oTBMildd8Ph/rAgtsuuG/j3A3icCLPTA7TSeD5ubmht1OJApiEjxUkk2pVLKWWmDZ9MJoNDKTB/oZ0Ax9uOMnYwVfWFiIugFKLKw5gvNr25OTk9DpdGhubhbaKBAVaEguk8lQWFgYtSNKuBWcurkUFhaG7YOPliyB2enAdlLaOrla/e3xQGiZLC0tDaWlpayl1mq1wmg0or+/H06nM2QOI1kEpzedtYA1Q3DabjozM4P8/Hz09PRALpdj9+7dooRVZrMZ3d3dqK2thUKhwPR02FxFUIQiOJWOBssVCD2G0Nfnt5NScYTJZMLMzAy72OLpLgvEaqzg4cA3eaAttfwchtfrZTe9ZO3BJYIHgIbkbrcbY2NjGB0dRXV1NQvJoj1WuIuEEIKxsTHMzs5i27ZtUKvVMJvNMZEsMESnGXij0ShIOsp/XiLAF0dQ73CFQsG6yxIhBxV7Dx7vsQNzGFQgYjKZYLPZ8MEHH/hl6BNJeEpw2tizFrDqBKfmh9Rt1Gaz4SMf+UhMHxDfijgY3G43Ojs7kZaW5pclT4Thg9vtRkdHBzIyMrBjxw7BF46YSTK5XM66y2iERO2Y7XY782/Lzc1dE+U4MUJovkDEZDKhpaWFWVoNDAxAoVCwm168phd0iyGt4FjZbtrV1YXMzEykpaXFfPdLSUkJeZEsLCygq6sLNTU1zKGUIl6CWywWdHV1obq6esWxhR5DbPDloIHluK6uLsHluLW+gkeCQqFYMVnFaDRCp9NhcXGR2TDHE+VYrVZRckaxYFUIzq9tGwwG9Pf3MxGHwWCI+bi02YWfraYh+czMDAvJgz0vVkeXpaUldHd3o7W1NarM6WrrwUOV4wwGA6s903CfX44Tew+ebGdTlUrll7TkRzk2m41FOXzTi0iw2WznZhY9sLY9NDSExcXFqPar4UBXcAraOaZSqXDeeeeFvHhiIbjX68Xg4CCcTif+x//4H3ElAteC2CSwHEdXtomJCSwuLiI9PR25ublQKBTregUPh8Aoh1YpjEYjq1JQR5dwc+SWlpYimowkC0kjON9KyW63o7OzE4WFhSHdR2MBv111YWEB3d3d2Lx5c8RkXbQtpzabDR0dHYwMMQj7/VbwtYjAlY2WoqampphNEbVjTlTjkZhqslhtsWmVgpo00ipF4Bw5/pBKq9UqePyV2EgKwWltmxCCmZkZjI6OoqGhAdnZ2Ql9HUrw8fFxTE5OCg6bo2k5pcmZpqYmKJVK9Pb2Rn2egQRfCyt4OPBLURqNBtPT0ygoKIDRaMT4+DgAsGRdPOU4MUP0RCjV+J5twMo5cjabDYcOHYJOp0NLS0tUx+Y47gosu7WkAHiKEPJowN83AfgNgOyzj/kmIeSNSMcVleD8RJrX68WZM2fg8/kiWinFGqpxHIe+vj6kp6fjvPPOE7yyCgnRqVXTwsICc2elHtqxnGfgsdcL6CrLv9Ddbjervff390OlUrH9ezSJKrH394nup+Bva6gvwdLSErq6uvD222/jqaeewuOPP46tW7eGPQ7HcSkAngTwcSxrvI9zHHeIENLDe9i3AbxECPk3juMasNyXXhnxHGN9c5HAbzelb3rTpk0oLS0N+yXSfXS0X4bFYoFer0d5eTlqa2ujem4kglNduEaj8dtSxLr6rocQPRSCkTAwMx0sUUUJH64cJ/YKLnaTi1wux9VXX40jR47g/vvvR1FRUViPfB7OAzBICBkGgLNqsX0A+AQnAOjGXgNgSsiBRSE4P5Gm0+kwNTUleHInDbOFEpwQgomJCUxOTqKgoCCmsD8cyWjHWzBdeKzZdwCYnJzE4uIiMjIyYpa5rlUEtpLSclx3dzc8Hg8rxwXOP1/PGXr+NUs1AhUVFUKfHsypJdBr7QCAv3Ac9wCAdACXCjlwQglOv0y6QvX09LAMtlDCUrmdEHg8HnR3dyMlJQXnnXceRkZGEtaDTW8cU1NTIctrsazgXq8XVqsVSqUSxcXFmJubg9lsxsmTJxOyjxUb0ZIwmPabv2/lT1cRs5U0mQSnUUuCcSuAZwkhP+U4bg+A/+A4rokQEvaCTxjBaUg+PDzMBvoFayqJBKEEp/pqvoNqYJksVng8Hma9vGvXrpA3p2gJbrfb0d7eDoVCgbq6OshkMqSmpsLpdGLr1q1++9i0tDQW1q6lscDxrrKB1sP86SoGgwFmsxlOpzPh7zuZBKdjjKOAEKeWuwBcAQCEkHc5jksFkAdAH+7ACSM4vdgXFxeZQWEsX1AkghNCMDk5iYmJiRVhfzyuLhRWqxUdHR0oLy9HWVlZ2MdGE6JTV9aGhgYMDw+z39PPjb+PpR5mfIUUP6zdSFNC+dNVBgYGkJ6eDq/Xy953VlYWayWNpxyXLC04gFhaVY8DqOU4rgrLxL4FwCcDHjMO4BIAz3IcVw8gFcBcpAMn9Erp6OgAx3GoqqqK+e4bjuB0ZeU4LmjYH8+eGFj2tR4aGhI0DQUQliDji1uoBVSkMhnfw4yOBaZh7ejoKBsqqNVqk276IHarqlqtRnZ2NnvfFouFNdwA8GunjWZFTpaSjP47mt5+QoiH47gvAPgzlktgvyaEdHMc9z0AJwghhwB8DcC/cxz3FSwn3O4kAsLHhBK8qamJSfRiRahVmIbkFRUVIZsIUlJS4HK5on5Nn88Hh8MBnU6HXbt2Jaxxw+v1oqurC3K53E/cEm1oHzgllHaZ8U0f6N8T0REYDslwdKGgwxRo4tTj8fgJRVQqFdu/R3J2SWaIHktl5WxN+42A332H9+8eAB+N9rgJJTidtOh0OmM+hlwuX7EKT05OYmxsLKLxQywhutPpRHt7OziOw/bt2xN28dpsNrS3twcN9eNtdAnsMqPtlNShNCcnB263e00oxKJBpGYUuVzuNx2VjqviO7uEutElg+BKpXLNlT8TSnDu7HTFRK3gXq8XPT09IIQImjMWbYhuMpnQ09ODLVu2oL+/P+ZzDgQ1fGhsbAxatuPX0ePtZAtsp6TdVWNjY2y1i6XpJBTWkposLS0NaWlpKCkpCXqjo22k2dnZSXdUXStIeLZGLpczC+JYQG8QS0tL6OzsRHl5ecTmGP5zhRA82L54YGAg7ouXEIKRkRHMz8+HFdAEkjqRnWy0u8pqtSI1NRVZWVkrNOBarTbmpNVarVUH3uiouw3NW7jdbqjVamg0GmRlZSX8PVCCezyeNZUETfiZxLuCp6SkYH5+HhMTE1F7sQkJ0T0eD7q6uqBUKoOaPsR6gdHjqlSqoFNQ+EhmJxu/6YRqwA0GA0ta5eTkQKvVCrYjXksreDgEjv4dGRmB0+nE1NQU+vr6WBky3CilaMC3a1orbi6ASCt4rAT3er2YnJyE2+3G7t27o74TRgrRl5aW0NHREXT6aDwZeFpaq6ioEDTVdLXEJnwNOPBhDzm1I17t2ruYajLaP19YWMjKkPxRSvGW4yjBzWbzmnFzAUTag8cSolOSUDeRWMKccCH69PQ0RkZGQkYFsRLc7Xbj9OnTaGpq8pMMRgLhjbdZLbFJLLX3tWa6GM2x+VUM/iglvruNTqeDz+djYprs7GxBN521aLgIrJEQnZKvqakJHo8Hs7OzMb12sBCdDk1wOBxhE3XREpwaLLpcLuzZsyeqjHUk77jVQGDtnb+HHRkZYQ4vdP6WGBBzBQ+3/QrmbmMymfyGTdDIJlQ5jk/wteLmAqxyko1KSN1uNyPfwsJCXEME+c91OBxob29HQUEBtm7dGpZQ0WjCPR4POjo6kJ6eDrVaHXU5in8ea1UPHriHpbX3yclJOBwOWCwW1myTqHJcslbwSAgsxzkcDhiNRoyNjYXsO+A7qm5YgnMcJ9gdhYbkpaWlKC8vZ19sPO2m/BCdtobW19cLkuwJPW+6j6+qqkJxcTEMBkNMAgyxsuhigdbefT4fCCHQaDQwGAwrDBuFhrTBsFb14KmpqSgpKfErx5lMJvT29sLtdkOj0fhN4ok2RI9k9nD2MTdhWVFGALQTQgJbWYNiVfL5MzMzGB4eRmNj44p9azxZeDolVOh00MDnRlrBaSsrfx8fS7i93vXgMpmMlaQqKyv95qcNDg6uScOHRLWq8stx/GETer0eTz/9NJ555hmUlJTg6NGjgno3zl7rYc0eOI6rBfAQgI8SQkwcxwkbnockE5zO6nI6nSFbQuMhOJViulyuiKWqQIQjON/NZefOnX4haSwhNsdxTDap0WjWFcmDvddAw8ZA//VoMtRrIUSPBnQro1KpcN9994EQgu7ubjzzzDOYmJjAzTffHPb577//PhDZ7OGzAJ4khJgAgBASVkHGR8JD9FCgRoXFxcVhZ3XFSnDqTa5QKCJa5ARDKILTgQaZmZlBDSJjIbjH40FfXx+ysrIwMDAAu90OnU4HrVa7pqShoRCJhIG190DBCF3d4xkFHC2SZclMCMHHPvYx3H333YIePzk5CUQ2e6gDAI7j/oHlMP4AIeSIkOOLsoLThBX9QGdnZzE4OCiolBQLwScnJzE+Po6WlhZ0dHTEdc58UIFLOGfWaLPvBoMBs7OzqKqqQklJCTiOw3vvvQcAfuUprVa7wvFkLSDaMDpQMOJ2u5k7q8VigVqtZsk6MSEmwfk3eKvVGo2Ti1DIAdRieXZ4GYC/cxzXTAgxC3liwsEnaV9fH+x2u+C53tFcPF6vF729vfB6vdi1a1dcLYKBSTaaJ4hkNSV0BacOMdPT0yguLvbrdkpJSWHjkemezmAwYHh4GAqFAlqtNmG95PEi3n2yQqFAYWGhX8MJ9R23Wq3o7+9n4Xwib25iykX5n4nNZosqyXZWGRnJ7EEH4BghxA1ghOO4fiwT/nik44sSosvlciwtLaG/vx+FhYURS1SxgB/yb9q0KSGWuDRD3N/fD6vVKkg6KoTgPp8PPT098Pl82LlzJ0ZGRkJm0QPLUw6Hg5HdbrdDo9EwAqxGz3MiM/6Btff3338feXl5K2rvgdNVYoGYK3g8bi67du0CIps9vIZly6ZnOI7Lw3LIPgwBEOUKoRNFmpubE+59DgBzc3Po7+8PqdaKBTKZDC6XCydPnkR2dja2bdsm6IKKFKJTOWpBQQEqKiqiVpClpqb67Wfp6j46Ogq5XM5W90h66ERCrNfhzg5TCKV7F+rOGgrJIng0K/jZm3Qks4c/A7iM47geAF4AXyeECJrxlXDTRRqSNzU1JZzchBAMDQ3BZDIxb/JQj4v2InS5XJienkZDQwOz/xWCcGS1WCzo7Oxkc9dCPUfouQb6kTudTkZ2q9WKrKwsRnixkMwOvEDde7BhiVqtNuFjgKNFnHZNQsweCICvnv0vKiR8Bc/NzU1IR1LghUS9ybOysrBz586Qx4+lLj01NYXp6WmUlpZGRW7+6wWCtt+2tbWtCNkS1eiiUqlYAwY/Wz0+Pg6Xy4WsrCyo1eqE2jqtVostF+DOGszdhSbrEqEOiwbxElxMJHwPXlBQALPZHLfpA7/ziI7+ra2tjUjAcCOEA8HvU6+qqoqJaIEhOiEEAwMDWFpaCtnoIMbFx89Wb968GUNDQ/B4PH7hLV3dxeoljwfRfvbB3F2MRmPC1GHRIJDga2V0MCDCCs5xXMJMH2QyGXQ6HXQ6XUhv8kAEGyEcDC6XC+3t7cjNzcXWrVsxPT0dk9UUfzX2eDxob29HZmZmxD18LCF6NJDL5cjIyGDZaqoD1+l0AMBWu2iH3ou1gsd73Ei1d6fTiYWFBVHNHoC1NToYSEKZLNbnu91unDlzJqSDarjnRqpL04iAP60knhnhtAe5vb2d9ahHek4ye9H54W1VVRWrRdOh9xkZGWx1j5S8EpPgidpHB9beXS4XTpw4gampKZw5cwZqtZq9X6GtzOHAJ7jP59vYji7A8uoRi7sphc/nw+nTp7Fp0yaUl5dHfgIPkcQqOp0OExMTKyKCWAnOcRzMZjOmpqai0oSvpsAksBa9tLTkJxzhr+7J7DQTa98sl8uhVCpRX18PQj4chUyVjBqNJq7GIkpwvsZ/rUCUED1W0wdgeTzvwsIC6uvrBbmjBCIUUWkfvMvlCtoUEwvBCSEsFAznwRaIwK651Wxe4YsnaPKK32mWnp7OCK9SqdbFCh6IQLMHOgqZLxahvQax1N4Dt4Sr3YzEx5oJ0X0+HwYHB7G4uIiCgoK4BicEEpXWovPz80P2wUdLcK/Xy4bp1dTUROVHvpblonK53M/lxWq1wmAwMKdSYLk2n+jS1GppwUPp3sfGxljCLFLt3ev1iu5HHytEC9GjWcGdTic6OjqQk5OD7du3o7+/Py7JKP+5dDro1q1bw/Y7R9N8Qo0kioqK2KSSaLBWTR4CwV/tqCVzd3c3zGYzpqenmYebVquNey+7VtxaI9Xe6aAF/g2Ohugul2vNedGLFqILJSj1JucnvOLVhNOVeGJiQnAGXugKThN09IYxODgYk1w03M9rFXK5HKmpqSgqKkJWVpZfH7nb7fYTyUS7uierlTQaCKm9a7VaOBwOcBwXs6OqEMOHs4+7HsArAHYRQk4IObZoK3gkghJCMD4+junpaWzfvt0vJI+H4HT/T++4QjPwQgg+NTWFsbExvxtGrHpwQgicTifb164X0JU2mIdboOkDnSIqZLu1VlbwcAisvdMbnNlshk6nw3PPPQePx4OFhQXByVYhhg8AwHFcJoAvATgW1TlH82ChiJRkowRUKBQ477zzVnz48YwB9nq9GBgYQEVFRVQilEiGD7QFNzBBF2v2Xa/XY3p6Gj6fD06nk00gWUsllmAIRcTAscDBHFrDZapXy3AxHqjVaqjVapjNZjQ0NGB2dha/+tWvcOWVV+LSSy/F9773vYjHEGj4AADfB/D/A/h6NOcoWqNLqBWYepqFGyIYqy+byWTC5OQkSkpKotbkhjN8aG9vR3Z2Ntra2uI2fHC73Uwp1dzcDAA4ceIELBYLxsbGmDvKarRcJhL04hcqgV0rhouxHl+tVqOxsRE7d+7Er3/9a8HXrxDDB47jtgMoJ4Qc5jhudQl+9oSCkoVqrCNNLIl2Sig/3K+srIxpvxXMdJHejMIZPoR6r8Fgs9lw+vRp5Obmwul0sjCdEIJNmzahoqKCNaHQlsu1Zv4QSygdmKmmbaVDQ0NwOBzQaDSiZqGTMZdMJpMxx1UACfuuOI6TAXgcwJ2xPF80gvNBe75piBupNziaPTgdUAgsa2tnZ2djbjnlE5VKUltaWiJONBWyghuNRvT29qK+vh5paWkYGxvDqVOn4HA4UFJSArfbDZVKxYYRFBYWAgDzJh8aGop6XysGErFXDmwrXVhYwOTkJMxmM2w2W8IlsMkaPMgnuFAIMHzIBNAE4O2zn0URgEMcx+0VkmgTfcPncDjQ0dGBvLw8wcYPQglut9vR3t6OkpISZr0cb8spOTtA0GAwhJWkUghZwWk/fVtbG5RKJTiOg1qthkKhQFNTEywWC0ZGRpihg1arZT3TdFheZWUlnE4nTCYT+vr64Ha72Vyx1ZZLxgMqgfX5fEhLS0NZWVlICWys+QmxJ3/S/EG0bi5AZMMHQsgCAKY15jjubQD/36pl0fkEpqtWpBp0IIQQnPqeNzQ0MH00fW6sBPd6vejo6IBCocCOHTsEkUYmk8Htdgf9Gz85x589PjAwAIfDge3btyMlJQVZWVlshA6dqDE8PMxWbKoAU6lUKCoqQlFREQghMJvNrGSTlpbGVncxw12xst10lQ0ngZXJZKzuHo0ENlmGi7FMNRFo+BAzRFnB6d5yYGAgKm9yinAEJ0FG//IRa4LO6XTCarWivLw8qv73UEk2Ov0kMzMTzc3NIISw7jf6u8ALVCaTrchEz8/Po7+/n63Y1I0UgJ/5g8PhgMlkQnd3N5PaZmdnJ5yQyVSTBUpgXS4XDAZD1BLYZBF8aWmJba2iQSTDh4DfXxTNsRNOcI/Hg9OnTwMA2traYlpNQq3CXq8XXV1dkMvlfqN/+YglRKfNNiqVKmpxSzCC22w2tLe3o6KigrV8Op1ONu88ktqMQq1WY9OmTaxn2mg0shU7PT2dJd8UCgVSU1NRXFzMVveBgQHWlEHVYlqtNm5ttFg1eyEkVCqVK7rMhEhgk6XwiiVEFxuizCYrLy9n+9lYEGwVpqQpLy9HWVlZ2OdGQ3CqLtu+fTtOnToV07nyX4/eLBoaGpCRkcEuxJ6eHtTX18dsY5WSksKaLKgCbH5+Hr29vX4KMLVazchSXFyMvLw8VpOmltKU7LE6vawFPXg0EthkWiavJS04INIePD8/H5OTkzErygJD9Pn5efT19QkyWRS6B+ery6LRmweCv4JTf3Z+Mm12dhZjY2Noa2tLWOabrwCjF7fBYMDk5CQWFxfh8/mgVCqRk5PDEnr8mrTJZGJhbrRJrLWqJgsngbXb7cjOzoZKpUq44cNatmsCRMyix9tu6vV6WUZ7fn5esBxTyB6c7+YSbsqKENAsen9/P5aWlvymnwwPD8NisWDHjh2ihogKhQJFRUXIz89HR0cHVCoVlEoluru7/fb1KpUKKSkprJFGJpMxMcX4+LhfN1ooD3axk2yJQKAEtq+vD0qlkhk+0O0NfzporJAIHgNo2Nve3g6VShXVnLFIITqdVlJTUxO1wWIw+Hw+zM7Oori4GC0tLSCEwOfzobe3F0qlMmj3mxigirzS0lI/Hb3T6cT8/DxGRkZgs9lYoi4rKwsA/LTRVAvO92DXarV+QwjE2oOLbeZIFWCBEliv1xtUISYUgXZN5wzB4/Fls1qtsFqtbLxPNAgXotPpoJGmlQiF3W5Hf38/1Go1Nm/eDEIIXC4XOjs7UVxcHDZXkEhYrVZ0dnairq5uhWWySqXyayqhghB+GS4nJwcqlcpPCw4s2z6bTCaMjIxAqVRCq9XC6/Wu+RU83LGDSWD5CrFoJbB8gsfS6CI2ROtki3UF53/QsTq6BL4u9VM3m82COumEgOrMKyoqoNPpYDKZIJfL0d3djS1btojqTc4HbXxpamqKeHHROjI9N1qGGxgYgMvlYo0ztAzHl0rSJhubzYZTp06xx8YzD5yP1VKT8RVigaOUhEhg17KjKrCGVvDAoQYnTghq1FmBwBDd4/Ggs7MTaWlp2L59e8SLUciFRmWjra2tUCqVkMvlGB0dhclkglarhcvlgtvtFt2ud3p6mvnLxbKXDFaGm5ubw8DAADMmpGU4pVKJwsJCzMzMoLGxkWXxBwcHE9Jkk6wVPByCSWBp49Hg4CBSU1P9vNcBf4Lb7faY9OBiQtQ9eKgOr0DQphC1Wi24gywU+OSkpbVNmzaFVK7xEejHHghydk64xWLxu1nY7XY2NtbhcGBubo51XuXn5yMvLy+h5RNCCEZHR2E2m7F9+/aEJPACy3BWqxXz8/M4c+YMczJxuVxQKBSsiYZWNKjNEX9PS9tthX6XYq7gsbaq0oQknUoTTALLPy4hJOrXOXLkCK688so+hDB74DjuqwDuBuABMAfgM4SQMaHHFy1El8vlcDgcER9LFVuBdsM0Ox0r2WmbbDTzy8IRnLaxpqWlobW1lTlo9vX1AQC2bdsGmUwGpVKJrKwsVFdXw+l0shXR4XAgJycH+fn5cYW1tLwHAK2traKsevx9amVlJcsrOBwOyGQyDA0NsR54uVzObI74LbQzMzPo6+tjGWutVhu2r3896MGDSWDHx8dhtVrx7W9/G16vF319fdiyZYtgs8bPf/7zAHAlQps9nAKwkxBi4zjufgA/BnCz0HMWdQWPFKLTpFcw+Sh/+EG0cLlc6O/vj7pNNlQG3uFw4PTp0ygrK2MXMQ398/LyQhpLqFQqv7HANJlDL3y6Ogj18aKvmZ2djcrKyqRk5+mIZtouCiwn3+bn5zExMcHKcNRjnBDCJopwHMekoV1dXexvobrN1pMenEpgbTYb8vPz8d3vfhe33XYbHnroIRBC8Nprr0U8xvvvv4+amhoMDQ2FNHsghLzFe8p7AG6P5jxXpUxGQ92FhQXs3Lkz6AVOnx/NPpaWp+i88GjDpWAEpx5s9fX1yMzMBCEEdrsdnZ2dqK6uZvY9kcAP9/idaO3t7QCAvLw85Ofnh5RIUlXepk2bQmrTEw23242Ojg4UFhb6VQQ0Gg00Gg2LUgwGA3MhpUkp2lDCl4ZSWyfabZaZmYm8vDzk5uaKuoKLncBTKpWoqalBWloaXn31VcGlxMnJycDW6BVmDwG4C8Cfojk/UUP0YCs4vWgyMzP9mkICEW0Wnm+NnJqamhDTh5mZGYyMjKC1tRUqlQocx8FoNGJgYACNjY0xZ0wDO9FcLhcrXVmtVuTk5CAvL4/Vn5eWltDV1YUtW7b4KefEBP08Kysrw/YLBKq/+GU4Wlrjh+f0Z47jsLS0xJpsqHGhTCYTZRSyWAT3eDxIS0vzc1QV47U4jrsdwE4AF0bzvKSu4LTJJJxDCv/5QnvK6Zhe6sw6PT0d012b7vtpRn9hYYEl0ziOw+TkJKanp2POWoeCUqlcQZK5uTkMDg5CJpPB4XCgubk5aeSmdfVobyiBZTi73c7KcE6nc0UZjp+x7u3thUKhwOjoKGw2W9Amm7UImrNZWlqKOpFaWlrKZqedRaDZAwCA47hLAXwLwIWEkKjcTEQtk/EJTu2ahDaZCF3B6XH5Y3rpShwtwam2m3bQtba2sptMf38/XC4X03CLBT5JJicnMTExgdLSUgwNDcHn80Gr1SI/Pz/qoYFCsbCwgJ6eHjQ1NcVd001LS2PyW37JiV+Go2YPdrsd1dXVbBWkLbQjIyPMw4220K4l0Ay9xWKJyexhYGAAocweAIDjuG0AfgXgCkKIPtrzE7XRxePxgBCC/v5+WK3WqJpMIvWU80tWgcelz412T0cIQU9PD8rLy1FSUsLaTru6uqDRaFBXV5eUxBYhBMPDw1hcXPTLJVBRydjYGJaWlqDRaFhfeSJuOgaDAQMDAwkVxlAE5iBoGa67uxuLi4vIz8+Hx+NBamoqfD6fXy+5y+WCyWRa4VOXk5Oz6k42lOCxtKnK5XI88cQTuPrqq8OZPTwGIAPAy2evvXFCyF7BrxHVGUUBmUwGj8eDkydPIjs7O+I43UCEW8Fp3TwjI8PPKYX/3Gg14RaLBXNzc6iurmbkpv3dFRUVSUts0URhSkoKWltb/d4bFZUUFRUxLzPaZ65UKhmBYiHn9PQ0dDodtm/fLvp0DlqG4zgOMzMzaG1thdfrxfT0NCwWCxsXlJ2dDblcznzq8vPzwXGcn09damoqW90TMSk0WlCCxzr04KqrrgIhpI7/O77ZAyHk0njOTzSCLy4uwmazoa6uLiZRRyiCU2fSysrKkK2s0bq60HJdfn4+fD4ffD4fFhcX0dvbi4aGBsEm9vHC7Xajs7MTWq02oqc79TKje2Tadtrb2wu32w2tVou8vDxoNJqIN9axsTEYDAZs27Ytab7si4uL6Orq8tsK8GeZ09UdgB+BCSEsi19VVcWcbGhraaBPndhDJeIxXEwGRPk2rVYrurq6kJaWFrNiKxjBqS480pheoaYPNBQ2mUzYvn07nE4nJiYmcPToUXi9XmzevDlpez4676yysjIm2x9+2ylVhU1OTqK3txeZmZnIz8+HVqv1IzDd5jidTrS1tSUt3F1YWEBvby9aWlpWJKb4Rg7Upml+fp6V4fimlNTDraioiH1mfJ86tVotemKSv4KfMwRPT0/H7t27cexYVFNW/MAnON+HTYguXAjBqT+aXC5Ha2srADCn04yMDFRVVcFoNOLUqVOsjTMvL08UwtPVLB7HFz4CJ4TS7cfY2Bh7L7m5uRgdHYVSqURjY2PSBizQVs/W1lZBW4nACgPdloyOjkKhUPiNNqYttdnZ2eA4jrUN2+12nDhxgj02kaYPtInmnCI4TbIBsTcZ0F52n8+H7u5ucBwX0oct2HPDhehOpxOnT59GUVERSktLWTKtp6cHqampTMNNu7ccDgeLHlwuF3Jzc5Gfny8o/I0EKmRobW0V5eZBrZdpxONwOKDX63HixAnIZDIUFRXBZDIlTBUWDnq9HqOjozGXGQO3JXa7HQaDgUUhgWW41NRU5Ofnw2KxoL6+HiaTiZk+CDVsFAJa019rdk2AyL7olGix7OtSUlLgdDpx/PhxFBUVJWzO2OLiIjo6OrBlyxbmOupyuZhZQjBRSmpqKms5DQx/s7KyWPgbbSZbp9Ox4YvJGjsrk8kwOzuLuro6FBYWwmg0sr7xjIwMlqhLtBKOJvG2bduWsGNTH3V+KzAtw6WlpSEnJwczMzMoKyvzs1zmzk4CpR5uHMfFZMfMh9VqFSRoSjZEnWxCu9liIbjdbsfU1BRaW1uj8lQHQhNcr9djcHAQzc3NLDxcWlqKSsMdGP4uLCxgbm6OGShQRVa4FYo20litVtHr6nzQQRE1NTVMIRVo5Dg3N4dTp05BJpMxssfbWTYxMYG5uTlRk3iBZTiLxYKOjg7I5XLodDo2MYUaYarVanaDoC20VDhCfepycnIEn6/dbj+3VvB4TB+mpqYwPj7OarzRIrBMRuWV8/PzjFAcxzFixhoe0zA+OzsbtbW1rLbb2dkJn8/H+sv5qwLdcqhUKrS0tCRt77u0tITOzs6QVQF+++zmzZuZ1dPQ0BCzesrPz4+69jwyMoKFhQW0trYm7Ubm8XjQ39+PLVu2oKCggEVdtAxHHVepIIbvRcdxHGuyoTmLUD51VFEIrE03F0DkED0W04f+/n7YbDY0NTUxv+towS+TUULJZDK0tbWxx1CDhh07diQsZKStl3SIIK1R0/7y3NxcjI+Po6CgAJs2bUrIawoBdX0JlrUOhUCrJ5PJxOa1qdVqlnQMtbXgZ+hbWlqSlqF3uVw4ffo0qqqqmBAoMOqiZbiuri4AH/qpU8tpvqWT2+2GyWRiPnV8hxfgwyGD51SSjSKaFZyKULKystDW1gabzRa3aSP9sgsKCtj+iBCCM2fOMMKLdeEpFApm0u/z+TAzM4Oenh6kpKTAbDZDoVCIstcNhF6vx8jICNra2mJuBOE7s/K70Do6OoJGKlQnTwhJaobe5XLh1KlTqK6uZluQQAQrwxkMBkxMTLDuQL4BI7V0ysvLA8dxbJTS8PAw5HI567KLheBHjhzBl770JfT39w8iuNmDCsBzAHYAMAC4mRAyGs1rcBEaAWLuEnC73ejr60N2dnZESWWwMb0OhwPd3d3YsWNH1K9N91xzc3Ooq6tDTk4OCCGskaSgoIANK0wGaH93Q0MDsrKy2F53fn6e7R3z8/MTnkXX6XSsU0ysGwklyNzcHKtT22w2ZGZmJq21F/iwMlJTUxPTtg4Am4U2Pz8Pg8EAuVzup4bjc4WSfXBwEM8//zz+/Oc/44orrsAnP/lJXHDBBRH37l6vF3V1dfjrX/+K6upqFYDjAG7lmz1wHPc5AC2EkPs4jrsFwHWEEMFmD0ASVvBIIXqoMb2xDhEElm8Y09PT2LlzJ1u1bDYburq6/BJMycDc3ByGhob8+rv5e11+Cc7pdDIxSTwlOOonv7i4iG3btom69+WPE/J4PGw6jMlkwunTp9nqJ2YbKTXkCOYqGw34s9BqamrYd0PnmNPwnF6nbrcb6enpeOyxxzAwMICLLroIr776Kvbs2ROR4NTs4awbryuY2cPZnw+c/fcrAJ7gOI4jUbTnrVqIzk98BRvTG0uCjjbEzM/Po7i4GKmpqX4abiHOo4nExMQEG5IYagXll+C8Xi+bUBJrCY6Gxz6fL6lJPGppVVRUxEwM+IISj8fDbl6JbDSh5BZDK8//bviTX4eGhpCSkgK73Y7S0lIMDw+jp6cHl156KW6/XZjhikCzh1IAEwBACPFwHLcAQAtgXuh7ED3JFsx4kQ4RDDeml2qzhYI2qhBCsHXrVvT09LC9ODUnTFatmQ7/czqdgpxcKVJSUiKW4MKthlT5lp6ejs2bNyeN3G63m1la8X31ApOORqMRExMTWFxcZDeveOZ+07Lf1q1bE9IBGA78PITFYkFXVxeKi4tx//3348yZM/jEJz6B4eHhpImShEL0Mlmg8SK945aWload5BnNxUlHEeXl5aG8vByEEOzYsQPd3d2w2WyQy+UYGRlBQUEBa2MUC7QFNi0tDU1NTTG/VmAJjuYUuru74fV6VyS2PB4P2tvbWX4hWQiWtQ6GwNlhfCUcTTjm5+cLVsJRctfX1ydNDAQsN0p1d3ejra0Nc3NzWFxcxO9//3uYTCacOHECH/nIRwQdR6DZwySAcgA6juPkADRYTrYJRlJDdDp5s76+PmGDAWiCrqamhnl7eb1e9PT0IDc3F9u3b4fP52N10DNnzsTVfRYOtCOuqKgo4VNN1Go1KioqgpbgsrKysLCwsMKZVmzEuvfl37xqamqY80tvby9cLpefEi5Y9EPtsBsbG9kIpmSAWme1trbCaDTi1ltvxa9+9Sucf/75UR+Lmj2MjIxg8+bNSgQxewBwCMAdAN4FcAOAN6PZfwNJrIPzx/QmykyAJqdoZxohBA6HA52dnX6qrEDPb37om5qaioKCgqjcTYPBZrOxG43YSTx+CW5paQmnT59GRkYGRkdHMTc3x0J5MUtw1NYpEStooPOLwWBgN2NqzEhnm1utVnR0dCTEcSYa0EahlpYWLCws4JZbbsHPfvazmMgNfGj2cPnllwNAL4KbPTwN4D84jhsEYMTyTSAqiFYmo73BNARzOp1obm6OasU8evRo0JCHEILx8XHMzMygpaUFcrkcHMfBbDbjzJkzUd3ZrVYr9Ho95ufn2ejjaEtWZrOZebAnc0WxWCzo7u5mFzu/3XR+fp4NXkh0CS6YllsM0KaUubk5GAwGdgNvaGgQ7GabCNCbSnNzM6xWK2644QY89thjuPjiixP1EqLtGUUluMFgwMmTJ1FRURFT0ufdd9/F7t27/cI0vjVyfX09gOWQj4oZWlpaYi7J0EEFer2emSYUFBSE9T+jjSQtLS0JtzkKB2qvFE52Sd/P3Nxcwkpw9Cba3Nyc1N5rKhIqKirC4uJiwgZJRALdDjQ1NcHpdOKf//mf8cMf/pCuvInC+iO42WzGyZMnwXEcPvrRj8Z0jGPHjvnN1qbZWup4Qs+d9ks3NTUlbE/t8XhgMBig1+uxtLQUtBebluRaWlpE70jjY2ZmBuPj42hraxO8raA33Lm5OVgslpjyEFTLHU9XXCygEQO/1ZZGiHNzczCbzTENkogEmshraGiAx+PB9ddfj4cffhjXXHNNQo7Pw/ojuMVigcPhwJkzZ7B7dzgv99A4ceIEmpuboVKpYLVa0d7ejurqatYySfvM1Wo1ampqRDW3pxeTyWRCRkYGPB4PUlJS0NTUlFTjv/HxcXZTibW8xM9DGAwGQSU4quWO5qaSCFgsFvT09KClpSXkNoM/SGJ+frlETMkeq/yTJhBplHj99dfj61//Oq677rrY30xorD+C017wd999V3DpIBCnTp3Cli1bYLfbWVhIw1GasS4rK4tpzHCs8Hg8OH36NLvBKJVKQRLReEHFGw6HA42NjQm9qdAS3Pz8fNASHN3+tLW1JTVSodZOQt1fKKjN0/z8fNBBEpFAyb1161akpKTghhtuwAMPPICbbropnrcTDuuT4G63O2SiTAjosD+j0Yjm5mYoFArWA9zT04OtW7cmbRgA8GG9vaSkhIlXKDnm5uZACEFeXh4KCgoSuj+leQe5XC56fzctwdHecupvn0jVnRDQvX605A4EvwPNaDQiLS2NRSvBbshOp5MtLEqlEjfeeCPuvvtuwR1qMWL9EZw6pcRKcJ/Ph6NHj7IBBBzHgeM4Fio2Nzcn1QSfloVqa2tDihnoyqHX6+FwOBKS1KItoDk5OaioqEhadxoADA8Pw2AwICMjg+1zk1GCo/LWRO/1CSF+0UrgIAm3241Tp06htrYWqampuPnmm3H77bfj05/+dMLOIQTOLYLT6SIejwebN29mq/TY2BhMJhNbzZMFassbTVkoMKml0WhQUFCA3NxcweE1TSqWlpYmdRvC13I3NDQw+2FagjMYDDGXFCOBJvISPR4qGOggCdqR5nK5oFKpUF1djXvvvRf//M//jHvuuScZN1XRXiApJtjRGC/SZBrV6g4MDDDjvLS0tKTa+wIfZqy3bdsW1WrC7yunbqDUzlfISkhtlDdv3pzUmi/Vy3Mc56flDub4Mjc3l1AVHDVQTAa5gQ8HSWi1WnzwwQeorKzEoUOHcOeddyIrK4vNABe7z11MiLaCA8v7mcBSVzgYjUb09vaiqamJrQp2ux2nT59mAwBpbTqRiqRgoMo0o9EYV8Y62HED9eB0age9gdCuqUTZKAsF31m2urpa8OcbqgQXjZCETiRNdpaehuVVVVXIzs7GHXfcgY997GO47rrr8MYbb+CGG25IhoBk/YXowDLBT548iaampoh3ZJ1OxxpVaDKNDlCg+156Ien1eiwuLiInJ4cJSBK5qvt8PuZIsnXrVlEjBurdrdfr4fV6kZGRAZPJtEIfLza8Xi86OzuRnZ2NysrKmI/DF5IYDAZWZQhXgpubm2OuM8kkN9WvV1RUIDc3F5/5zGewY8cOfPOb30zI4vGZz3wGf/zjH1FQUMDsofgghOBLX/oSfv7znw8BsAG4kxDyQdwvzIOoBKcWOrW1tSGzylS/TFsQaTKNhmuhOqZodlSv18NsNiMrK4vtceNpdqFJLToaJ5lJrenpaQwNDSE9PR0OhwO5ublJUcDRWW/5+fkJV6LRkUpzc3Pwer0sAqMlOL1ej7GxsaSX4Gi5s7y8HHl5ebj33ntRV1eHf/mXf0nYZ/33v/8dGRkZ2L9/f1CCv/HGG/j5z3+OI0eOyLCsBf/fhJDYmkZCQHSC0+F9wXq0qcQxKysLVVVV8Pl84DgOOp0Oer0eLS0tgu7odNXQ6/UwGo1Qq9VMQBJNaE2H3peXlydVlQWAzR6n9kq0U0uv12NhYUE0BVwoLbcY4Ce1lpaWoFKp4HA4sGPHjqTsuSm8Xi9Onz6NkpISFBQU4IEHHkBJSQl++MMfJvxGOjo6imuuuSYowe+9915cdNFFuPXWWzkA4DiuD8BFhJDpRL2+6Em2wDnhFLTHt7Kykqm8ADA3kmiMEvjyQ7rHpSuDUqlke9xwNwsqBYzX9idaUGebhYUFP3ulQJ9vMRRw9IYWScudKPCno05NTWFsbAw5OTn44IMPBDm1JgKU3MXFxSgsLMRXvvIVaLVa/OAHP0hqtAaEdHUpBbA+CM6fE84H1YU3NjYyI3qPx4Ouri7k5ubGVe/lZ3urq6ths9mg1+vR3t4OjuMY2fnNE7Q0k2xLp0B7pVA3tGD+6/z3FEu5ivZZJ/uGBiz73k9PT2PXrl2Qy+XMqXVubo69J9pNl8iGIa/Xi/b2dnaTefDBB5GamorHHnts1eeMiwXRV/BA0weaTOMnVBwOB3NVjXUaaSio1WpUVlaisrISTqcTer0evb298Hg8zAqXTt1IZphI7ZXUanVUGWtg2QqpqqoKVVVVfuUqapYQSQGXSC13tJicnMTs7Cza2tpYtELnhdOhj3TowsDAAGsYysvLiysX4fP50NHRgYKCAhQXF+Phhx+G1+vFz3/+81Ujt0BXl7gg6h7c7XZjZGQEKSkpKC0tZUMNaH2V4zjWtZRsLbXL5UJvby/MZjOUSiVrMRW7/AZ8mNTKy8tL6AAEIQq4ZGm5g4HmVqKZcuL1emE0GjE3N4eFhYWQo5DDwefzobOzE7m5uSgrK8P3vvc96PV6PPXUU6JPWwm3Bz98+DCeeOIJfpLtZ4SQ8xL5+qIS3OPxYGxsjE2HyMjIoDax4DgOU1NTmJqaQktLS9JXT9rMsWXLFhBCklJ+Az7c927atEnU+mowBVx6ejpmZ2dFm2QaDuPj4zAYDGhpaYmZVPxRyAaDAQqFgm1PwhlR0vLfpk2b8Oijj2JkZAS/+c1vRCf3rbfeirfffhvz8/MoLCzEd7/7XWZCet9994EQgi984Qv4xS9+MYzlMtmnCSEnEnkOohN8ZGQEw8PDqK2tZYZ7APyUUcmaWUXPqaOjI+ReX6zyG/ChrdNqJPJ0Oh2Gh4ehVCrZWF2xFXAUtMU40SOM7HY7E/rQEhztK6cTVjo7O5GVlYWKigr867/+Kzo7O/Gf//mfog1BjBHrs9GFTqrMyclBQ0MDM0Ts7u5mLY/JzFzSvb7Q1ZNffjMYDEhPT4+p/AZ8aK+U7K0IsFLLnQwFHAWtEDQ3N4u61w0swWVnZ8Nms7EZ708++STeffddvPTSS0mttwvE+iT49PQ0HA4HxsbGUFNTg7S0NHR2dq5KnZnuPWOVmPLLb/Pz84LLb8CHWfpwpgViYXp6GpOTkyHHF4mhgKMYHh7G0tJS0k0xaLbc7Xbj+eefZ//+4x//uCZneGO9Evzs3CWkpKSwL5t6l4vpoxUI6l+WSB8xWn6bm5sLWX4DPhSrtLa2JjXPAHw4l1toUisRCjhg+WZIp3FSNVqyQAhBb28vFAoFqqur8eyzz+K1117DhRdeiL/85S/4P//n/zCXljWE9UnwX/ziF/jtb38Lu90Om82Gl19+GTk5OWx/G+sFFA0mJycxNTWF1tZW0RooAvvJ6f7WaDTGba8UK0ZGRmCxWGIOjfkKOKPRKFgLTgjB0NAQk5omcwtG+wpkMhlqa2vxn//5n3jppZdw6NChhEVOdCKo1+vF3XffjW9+85t+fx8fH8cdd9wBs9kMr9eLRx99FFdddVWkw65PggPAo48+ir/97W+4+OKL8ac//QmEEHziE5/Avn37kJmZyS6gzMxMFBYWJiSZBXy4itAQMVmJPLfbzcQTLpcLpaWlKCwsTEr5DQiu5U7EMfn20tRnvqCgwC97TUc2eTwe1NfXJ53c/f39AIC6ujq8/PLLePbZZ3H48OGERW38iaBlZWXYtWsXXnjhBTQ0NLDH3HPPPdi2bRvuv/9+9PT04KqrrsLo6GikQ69fPfgVV1yBr3/960hJScFDDz2E6elpHDx4EJ/73Odgs9lwzTXXYO/evcjLy4Ner8fg4CAyMjJYMisWYlLZo0KhSOoAPmC5scdkMkGr1aKmpobNnha7/AaE1nLHC34jCp2IGmyM0uTkco/GapB7cHAQPp8PW7duxWuvvYZf//rXCSU34D8RFABuueUW/OEPf/AjOLUUA5Y95ZJp1BEMoq/gIQ9MCPR6PV599VU22+mqq67Cvn37UFxczPTSaWlpbH8rJMx1u91MGZXIJhIhoJJLjUaDyspKv4tczPIbPT6diRZtZ1w8oB5uQ0ND8Hg8KC4uRkFBQcixQ2JgcHAQLpcL9fX1OHz4MP7X//pfOHz4cML9+l555RUcOXIETz31FADgP/7jP3Ds2DE88cQT7DHT09O47LLLYDKZYLVa8be//U3IjPv1u4KHAsdxKCwsxH333Yf77rsPBoMBf/jDH/Dwww9jZmYGl19+Oa699lps2rQJc3NzOHnyJJRKJQoLC5Gfnx90H2i329HR0YGqqqqEt7xGArWZKi4uDpqp5U+n5JffBgcH4yq/AYnTcscCuVwOk8mEgoICVFdXw2QyiT4Djg/+fv8vf/kLHn/8cVHILRQvvPAC7rzzTnzta1/Du+++i0996lPo6upatXbYVVvBw8FsNuP111/HwYMHMTo6io9//OO47rrrUFNTw+q3crmcWSIplUpWZ062CwoQn71SPOU34EPJbWFhYcIHHkYCIQQ9PT3Mx4wfNQR6rydKAcfHyMgIy7G89dZb+O53v4s33nhDNGXcu+++iwMHDuDPf/4zAOCRRx4BADz00EPsMY2NjThy5AhTiW3evBnvvfdepAVn/SbZ4sXi4iIOHz6MgwcPoq+vD5dccgn27duHxsZGRnaPxwO3242Wlpakk5vKTBM1ozpY+S0wmUWRTC13IGieIy0tTVDDElWL0fcVr2Hj6OgoLBYLmpqa8N///d/49re/jT/+8Y+itv96PB7U1dXh//7f/4vS0lLs2rULzz//PBobG9ljrrzyStx8882488470dvbi0suuQSTk5ORPp9zl+B82Gw2HDlyBAcPHkRHRwcuvPBCyGQy5Obm4sYbb2QD6igpxJ4VRocONjc3iyIzDVZ+ox1nydZy80GVcDTpFi34M9OEKuD4GB8fZ+667733Hr7xjW/g9ddfT0oTyxtvvIEvf/nL8Hq9+MxnPoNvfetb+M53voOdO3di79696OnpwWc/+1ksLS2B4zj8+Mc/xmWXXRbpsBLBA2Gz2bB//350dHQgNTUV559/Pq677jrs2rULRqMRs7Oz8Pl8jBSJ7iCj5gutra1JmdNFy296vR42mw1utxubN29GWVlZUjPWVLxBE4nxQogCjo+JiQkmWjl58iS+9KUv4fXXX0+41VSSIRE8EOPj43jqqadw4MABeDwevPnmmzh48CCOHj2K3bt349prr8WePXtgNpvZtNC8vDwUFhbGXTqZmprC5ORk0n3EgA9H2RYVFWFpaYmRoqCgADk5OaKSnWqq6RAGMY4fqIArKChg0lCdTsc689rb2/G5z30Or732GqqqqhJ+LkmGRHCh8Hg8+Pvf/46XX34Zf//737F9+3Zce+21+NjHPobFxUXMzs7C4XCwlT2a4XTUSpkqo5KpggM+7KfnbwkoKWZnZ5l3GyVFIjO31IySTnYVG/zZ4HQKCSEE5eXlMJvN+OxnP4uDBw+itrZW9HNJAiSCxwKv14t//OMfeOWVV/DWW2+hsbER1157Lf7pn/6JdWbZbDZBXuu0U4p2aSW77EFndUWaspko9RsfVLxRUFCQ9Ew9sFxbnpiYQHZ2Nu68805MTk5i//79+OxnP4utW7cm/XxEgETweOHz+fD+++/j5Zdfxl//+lfU1tbi2muvxaWXXgqn04nZ2VksLS0hNzcXhYWFfmoq2kSSmpoq6pjiUKAW0tHs9+Mtv1FQchcWFq6KEmtmZgY6nQ7btm3D4OAg7rjjDjz55JMYHh7GyMgIDhw4kPRzEgESwRMJn8+HU6dOsc6kTZs2Ye/evbjiiivg8Xig1+thsViQk5MDrVaL8fHxVemMAxI3lzua8hsFrbEXFxevSsvl7OwsGxs1NjaG2267Dc899xza2toS9hqRxCMA8NJLL+HAgQPgOA6tra14/vnnE/b6ZyERXCwQQtDV1YWXX36ZNUns27cPV199Nebn5zEyMoL09HRotVoUFhaGzO6KgUha7lgRrvxGQQcDlJaWJr3GDixXKeiNbWpqCrfccguefvpp7Ny5M2GvIUQ8MjAwgJtuuglvvvkmU0KK0CUpETwZoGKNV155Ba+88grm5uZw22234XOf+xwUCgX0ej1MJpNoiSw+otVyxwp++c3hcCAvLw+5ubkYHBxERUUFCgsLRXvtUKBzyrZt24bZ2VncdNNN+OUvf4nzzz8/oa8jpDPtG9/4Burq6nD33Xcn9LUDIBrBN6YZdIzgOA719fXYv38/gGU9u1arxW233YZPfepTeOedd1BZWYmSkhIYjUYcO3YMnZ2dbCVMFEZGRmA0Gv2shcWCQqFASUkJ2trasGvXLqjVanR0dMDpdMJsNsNoNCLCIpBQGAwGRu75+Xnccsst+NnPfpZwcgMrBw+UlZUxRRxFf38/+vv78dGPfhTnn38+jhw5kvDzEBNRp1Yj7VmcTif279+PkydPQqvV4ne/+13SBRDxoqysDIcPH2YZ4wcffBBjY2P4/e9/jzvvvBMAmKY9KysLer0ew8PDMY9MouBrucX2MAsGr9cLnU6HxsZGaLVaGI1GzMzMoK+vLylRi9FoZOODjUYjbrzxRvzkJz/BBRdcIMrrCYHH48HAwADefvtt6HQ6XHDBBUzYsx4Q1VXo9Xrx+c9/3m/PsnfvXr89y9NPP42cnBwMDg7ixRdfxIMPPojf/e53CT9xMZGSkuJXDuI4DpWVlfjqV7+Kr3zlK5iamsLBgwdx3333weFwME17QUEBG5mkUqlQWFgY0QGFQiwtt1DQQZHV1dXIy8sDgBWjk2ZnZxOifgsGk8mEgYEBtLW1wWKx4MYbb8QjjzyCiy++OCHHD4bAwQM6nW5FpaCsrAy7d++GQqFAVVUV6urqMDAwgF27dol2XolEVHtwIXuWyy+/HAcOHMCePXvg8XhQVFTEMrcbDYGadrPZzDTtpaWlrESlUCjClqhWS8tN4XQ6cfr0adTU1ECr1YZ9bKLKb3zQGv+2bdtgtVpx/fXX4zvf+Q6uvvrqmI4nFELEI0eOHMELL7yA3/zmN5ifn8e2bdtw+vTpiJ9TlFgbevBge5Zjx46FfIxcLodGo4HBYGCrwkZCME37a6+9hm9961vQ6/W4/PLLcd1116GiooLN3ZLJZKxEpVKpVlXLDSyT+9SpU4K92gNnv/FnislksqBWTuGwsLCAM2fOoK2tDXa7HTfeeCO++c1vik5uYPn6fOKJJ3D55Zcz8UhjY6OfeOTyyy/HX/7yFzQ0NCAlJQWPPfZYosktKqJawYU4WjQ1NeHIkSMsxK2ursaxY8c2JMHDwWw249ChQ/j973+PsbExpmmvra318yR3uVwoKSlZlX5qh8OB06dPY8uWLQkxSBBSfuPDYrGgp6cHra2tcLvduOGGG/DFL34RN910U9znss6wNlZwIXsW+piysjJ4PB4sLCysqzteopCdnY39+/dj//79sFgsOHz4MB5//HH09/fjkksuwYUXXojXX38d99xzD3Nfzc/PR2FhoegyV+DD6aKJ0rEDQGpqKsrLy1FeXs7Kb3SAIB2uQCWhi4uLjNxerxe33HIL7r///nOR3KIiqhVcyJ7lySefRGdnJ375y1/ixRdfxO9//3u89NJLIp3++oPNZsPzzz+Phx56CDU1Ndi5cyf27duHbdu2Mdmkx+OJuPrFA0ruZE0X9Xq9bLjC0tISMjIysLCwgLa2NshkMtx88824/fbb8elPf1r0c1mjWBsruJA9y1133YVPfepTqKmpQW5uLl588UWxzn1dQq1W4/jx43jppZewZ88e/PWvf8Vzzz2HL3/5y/joRz/KNO00q+x0Ov1krvEm4Gw2G9rb25M6QiklJQWFhYUoLCyExWJBe3s7srKycMUVV8DpdOLiiy/GrbfempRzOdewpjrZItXYH3/8cTz11FOQy+XIz8/Hr3/9a1F0yWKDTlflw+Vy4c0338Qrr7yC9957z0/TbrFYMDs7C7vdviLUjQZUS74ao4P5r9/c3AyFQoHbb78dW7ZsAQCcPHkSb7311qqZE64yNn6rqpC+4Lfeegu7d++GWq3Gv/3bv+Htt99edzV2IfB4PHjnnXfwyiuv4L/+67+wfft27Nu3DxdeeCEWFxeh1+thtVqZ8k3IUIWlpSV0dnauGrnpZNXGxkakpqbijjvuwAUXXICvfOUrCS0LChGPAMDBgwdxww034Pjx4wntb48RG5/gQmrsfJw6dQpf+MIX8I9//CNZp7gq8Hq9+O///m8cPHgQb731FpqamnDttdfi4osvhs1mw+zsLBYXF5Gbm8uGKgQShpJbLO+4SKB7/sbGRqSlpeGuu+7Cjh078OCDDyaU3EIWCWDZOOPqq6+Gy+XCE088saEJvmbiISF9wXw8/fTTuPLKK5NxaquKlJQUXHjhhfjZz36G9vZ2fPGLX8T777+PSy65BF/72tfQ39/PWkunp6fx3nvvobe3FwaDAT6fD4uLi+js7ERLS8uqkJtaStfX10OtVuO+++5DU1NTwskN+E8eUSqVbPJIIB5++GE8+OCDSfHSW22sqSnoQvHb3/4WJ06cwDvvvLPap5JUyGQy7NmzB3v27GGa9pdffhk/+clPUFlZyTTtPp8Per0evb29cLvdqKurS0rpLRC0zl5fX4+MjAw88MADqKysxHe+8x1RuvWENGJ98MEHmJiYwNVXX43HHnss4eew1rBmCC6kxg4Af/vb3/DDH/4Q77zzTtLH8a4lyGQy7NixAzt27MCPfvQjpmmnPfHbtm3DqVOn8OSTT8JsNuPYsWPIzMxkghGxVWq0/XXr1q3IzMzEl7/8ZeTl5eEHP/jBqrUt+3w+fPWrX8Wzzz67Kq+/GlgzIfquXbswMDDApnK++OKL2Lt3r99jTp06hXvvvReHDh1K+miitQyZTIaWlhZ8//vfx/Hjx3HbbbfhmWeegcViwb333oujR4+iuroa5eXlWFhYwPHjx9HR0YHZ2dmEylwpXC4XTp8+jbq6OmRlZeEb3/gG0tLS8OMf/1jULHmkRYKaVl500UWorKzEe++9h7179+LEiROindNqY82s4EJq7F//+textLSEG2+8EQCwadMmHDp0aJXPfG2B4zi0t7fj/fffR2lpKQYHB3Hw4EF88pOfRGpqKvbu3YtPfOITSE9Ph16vx8jISNQDHsOBqtJqamqQnZ2Nhx9+GD6fD0888YToJTD+IlFaWooXX3zRz15Jo9Fgfn6e/XzRRRfhJz/5yVpIsomGNZNFFxvrtHySMFDL54MHD+K1114Dx3H4xCc+gWuvvRZZWVmsPz7SgMdwcLvdOHXqFDZv3gytVovvfe970Ov1eOqpp5JmMR1p8ggfa4jgG79MJibWcflEFBBCmKb91VdfhdPpxDXXXIN9+/YxTXuwAY/hQMldVVWFvLw8PProoxgdHcWzzz6bdP/4dYiNXyYTE1L5xB8cx6G0tBRf/OIX8eabb+LVV19FTk4OvvzlL+Oaa67BK6+8guzsbGzdupXZJp88eRITExNwOBwrjkcNGisrK5GXl4d//dd/RX9/P5555hmJ3KuMc4LgQmrs/PLJuQSqab///vvx17/+lVlV/c//+T9xxRVX4Pnnn0d6ejoaGhpACEF3dzeOHz+OsbEx2O12Ru5NmzYhPz8fTz75JD744AP89re/TZjbi4TYIX0DODfLJ6GQl5eHu+66C3fddRdMJhNef/11fP/738f4+Dguu+wyXHvttdiyZQvm5+fR3d2NxcVFpKWlQa/X4w9/+AP+67/+CwcPHkz6zDYJwXFOEDya8gmwPE1j7969OHTo0IbdhwtBTk7OCk37T3/6UwwMDODCCy/Ee++9h8ceewwulwv3338/xsbG8IUvfAEjIyNMRCJhlUEICfffhoDb7SZVVVVkeHiYOJ1O0tLSQrq6ukI+/sILLyTHjx9P4hmuLxgMBtLW1kYuuOAC0tzcTC699FJywQUXkKmpKfLb3/6WPPvsswl5nT/96U+krq6OVFdXk0ceeWTF33/605+S+vp60tzcTC6++GIyOjqakNddBUTiYcz/nRMEJ4SQw4cPk9raWrJ582bygx/8gBBCyMMPP0z+8Ic/rHisRPDweOedd8ivfvUrQgghdrudPPLII2R2djahr+HxeMjmzZvJ0NAQuyl3d3f7PebNN98kVquVEELIL37xC3LTTTcl9BySCIngaxmRVhpCCPnd735H6uvrSUNDA7n11luTfIbrD0ePHiWXXXYZ+/lHP/oR+dGPfhTy8R988AH5yEc+koxTEwOiEfyc2IOLCSFe8QMDA3jkkUfwj3/8g823khAeQoQjfJwr6sJoIRE8TvBr7ABYjZ1P8H//93/H5z//eeZcKvXRJxbnqrpQCM6JOriYOBfmW60GolUXHjp06JxWF4aCtIInAet9vtVqIJJwBPhQXXjkyBEpKgoBaQWPE0LnW+3du3fFfCsJocFXF9bX1+Omm25i6kKqIOSrC9va2laISSRAyqLHCyE19j/96U9k//79hBBC5ubmSFlZGZmfn1+N05WwNiFaFl1aweOEkJXm8ssvh1arRUNDA/7pn/5p3c23krB+cU7IRdc7ImnZx8fHcccdd8BsNsPr9eLRRx/FVVddtUpnKyEGSHrwcxVCtOz33HMPtm3bhvvvvx89PT246qqrMDo6unonLSFaSHrwcxVCtOwcx8FisQBYHsdbUlKyGqcqYQ1CKpOtcQjp6Dpw4AAuu+wy/PznP4fVasXf/va3ZJ+mhDUKaQXfAHjhhRdw5513QqfT4Y033sCnPvUp+Hy+1T4tPxw5cgRbtmxBTU0NHn300RV/dzqduPnmm1FTU4Pdu3dLW4wEIdIeXMIqg+O4PQAOEEIuP/vzQwBACHmE95huAFcQQibO/jwM4HxCyJpoeuc4LgVAP4CPA9ABOA7gVkJID+8xnwPQQgi5j+O4WwBcRwi5eVVOeANBWsHXPo4DqOU4rorjOCWAWwAEekWPA7gEADiOqweQCmAuqWcZHucBGCSEDBNCXABeBLAv4DH7APzm7L9fAXAJt1oTEjYQJIKvcRBCPAC+AODPAHoBvEQI6eY47nscx9HWra8B+CzHce0AXgBwJ1lboVkpgAnez7qzvwv6mLPveQGA1CwQJ6Qk2zoAIeQNAG8E/O47vH/3APhorMfnOO7XAK4BoCeENAX5OwfgfwO4CoANyzeQD2J9PQnJg7SCSwCAZwFcEebvVwKoPfvfPQD+LcrjTwIo5/1cdvZ3QR/DcZwcgAaAIcrXkRAAieASQAj5OwBjmIfsA/Dc2b7p9wBkcxxXHMVLCMkjHAJwx9l/3wDgzTW2zViXkAguQQiE7KFDQmAe4WkAWo7jBgF8FUDw2VISooK0B5eQFAjIIzgA3Jjs89rokFZwCUIgZA8tYQ1CIrgEITgEYD+3jPMBLBBCplf7pCREhhSiSwDHcS8AuAhAHsdxOgD/AkABAISQX2I5tL4KwCCWy2SfXp0zlRAtpFZVCRI2MKQQXYKEDQyJ4BIkbGBIBJcgYQNDIrgECRsYEsElSNjAkAguQcIGhkRwCRI2MP4feEI3xMsXGx4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this three-dimensional axes enabled, we can now plot a variety of three-dimensional plot types. \n",
    "Three-dimensional plotting is one of the functionalities that benefits immensely from viewing figures interactively rather than statically, in the notebook; recall that to use interactive figures, you can use `%matplotlib notebook` rather than `%matplotlib inline` when running this code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-Dimensional Points and Lines\n",
    "\n",
    "The most basic three-dimensional plot is a line or collection of scatter plots created from sets of (x, y, z) triples.\n",
    "In analogy with the more common two-dimensional plots discussed earlier, these can be created using the `ax.plot3D` and `ax.scatter3D` functions.\n",
    "The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to [Simple Line Plots](04.01-Simple-Line-Plots.ipynb) and [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) for more information on controlling the output.\n",
    "Here we'll plot a trigonometric spiral, along with some points drawn randomly near the line (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "# Data for a three-dimensional line\n",
    "zline = np.linspace(0, 15, 1000)\n",
    "xline = np.sin(zline)\n",
    "yline = np.cos(zline)\n",
    "ax.plot3D(xline, yline, zline, 'gray')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = 15 * np.random.random(100)\n",
    "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n",
    "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n",
    "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that scatter points have their transparency adjusted to give a sense of depth on the page.\n",
    "While the three-dimensional effect is sometimes difficult to see within a static image, an interactive view can lead to some nice intuition about the layout of the points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Three-Dimensional Contour Plots\n",
    "\n",
    "Analogous to the contour plots we explored in [Density and Contour Plots](04.04-Density-and-Contour-Plots.ipynb), `mplot3d` contains tools to create three-dimensional relief plots using the same inputs.\n",
    "Like `ax.contour`, `ax.contour3D` requires all the input data to be in the form of two-dimensional regular grids, with the *z* data evaluated at each point.\n",
    "Here we'll show a three-dimensional contour diagram of a three-dimensional sinusoidal function (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "def f(x, y):\n",
    "    return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
    "\n",
    "x = np.linspace(-6, 6, 30)\n",
    "y = np.linspace(-6, 6, 30)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.contour3D(X, Y, Z, 40, cmap='binary')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes the default viewing angle is not optimal, in which case we can use the `view_init` method to set the elevation and azimuthal angles. In the following example, visualized in the following figure, we'll use an elevation of 60 degrees (that is, 60 degrees above the x-y plane) and an azimuth of 35 degrees (that is, rotated 35 degrees counter-clockwise about the z-axis):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.view_init(60, 35)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, note that this type of rotation can be accomplished interactively by clicking and dragging when using one of Matplotlib's interactive backends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wireframes and Surface Plots\n",
    "\n",
    "Two other types of three-dimensional plots that work on gridded data are wireframes and surface plots.\n",
    "These take a grid of values and project it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize.\n",
    "Here's an example of using a wireframe (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_wireframe(X, Y, Z)\n",
    "ax.set_title('wireframe');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon.\n",
    "Adding a colormap to the filled polygons can aid perception of the topology of the surface being visualized, as you can see in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none')\n",
    "ax.set_title('surface');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Though the grid of values for a surface plot needs to be two-dimensional, it need not be rectilinear.\n",
    "Here is an example of creating a partial polar grid, which when used with the `surface3D` plot can give us a slice into the function we're visualizing (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = np.linspace(0, 6, 20)\n",
    "theta = np.linspace(-0.9 * np.pi, 0.8 * np.pi, 40)\n",
    "r, theta = np.meshgrid(r, theta)\n",
    "\n",
    "X = r * np.sin(theta)\n",
    "Y = r * np.cos(theta)\n",
    "Z = f(X, Y)\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Surface Triangulations\n",
    "\n",
    "For some applications, the evenly sampled grids required by the preceding routines are too restrictive.\n",
    "In these situations, triangulation-based plots can come in handy.\n",
    "What if rather than an even draw from a Cartesian or a polar grid, we instead have a set of random draws?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "theta = 2 * np.pi * np.random.random(1000)\n",
    "r = 6 * np.random.random(1000)\n",
    "x = np.ravel(r * np.sin(theta))\n",
    "y = np.ravel(r * np.cos(theta))\n",
    "z = f(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could create a scatter plot of the points to get an idea of the surface we're sampling from, as shown in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter(x, y, z, c=z, cmap='viridis', linewidth=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This point cloud leaves a lot to be desired.\n",
    "The function that will help us in this case is `ax.plot_trisurf`, which creates a surface by first finding a set of triangles formed between adjacent points (remember that `x`, `y`, and `z` here are one-dimensional arrays); the following figure shows the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z,\n",
    "                cmap='viridis', edgecolor='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is certainly not as clean as when it is plotted with a grid, but the flexibility of such a triangulation allows for some really interesting three-dimensional plots.\n",
    "For example, it is actually possible to plot a three-dimensional Möbius strip using this, as we'll see next."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Visualizing a Möbius Strip\n",
    "\n",
    "A Möbius strip is similar to a strip of paper glued into a loop with a half-twist, resulting in an object with only a single side!\n",
    "Here we will visualize such an object using Matplotlib's three-dimensional tools.\n",
    "The key to creating the Möbius strip is to think about its parametrization: it's a two-dimensional strip, so we need two intrinsic dimensions. Let's call them $\\theta$, which ranges from $0$ to $2\\pi$ around the loop, and $w$, which ranges from –1 to 1 across the width of the strip:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "theta = np.linspace(0, 2 * np.pi, 30)\n",
    "w = np.linspace(-0.25, 0.25, 8)\n",
    "w, theta = np.meshgrid(w, theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now from this parametrization, we must determine the (*x*, *y*, *z*) positions of the embedded strip.\n",
    "\n",
    "Thinking about it, we might realize that there are two rotations happening: one is the position of the loop about its center (what we've called $\\theta$), while the other is the twisting of the strip about its axis (we'll call this $\\phi$). For a Möbius strip, we must have the strip make half a twist during a full loop, or $\\Delta\\phi = \\Delta\\theta/2$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "phi = 0.5 * theta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our recollection of trigonometry to derive the three-dimensional embedding.\n",
    "We'll define $r$, the distance of each point from the center, and use this to find the embedded $(x, y, z)$ coordinates:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "# radius in x-y plane\n",
    "r = 1 + w * np.cos(phi)\n",
    "\n",
    "x = np.ravel(r * np.cos(theta))\n",
    "y = np.ravel(r * np.sin(theta))\n",
    "z = np.ravel(w * np.sin(phi))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, to plot the object, we must make sure the triangulation is correct. The best way to do this is to define the triangulation *within the underlying parametrization*, and then let Matplotlib project this triangulation into the three-dimensional space of the Möbius strip.\n",
    "This can be accomplished as follows (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# triangulate in the underlying parametrization\n",
    "from matplotlib.tri import Triangulation\n",
    "tri = Triangulation(np.ravel(w), np.ravel(theta))\n",
    "\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.plot_trisurf(x, y, z, triangles=tri.triangles,\n",
    "                cmap='Greys', linewidths=0.2);\n",
    "\n",
    "ax.set_xlim(-1, 1); ax.set_ylim(-1, 1); ax.set_zlim(-1, 1)\n",
    "ax.axis('off');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Combining all of these techniques, it is possible to create and display a wide variety of three-dimensional objects and patterns in Matplotlib."
   ]
  }
 ],
 "metadata": {
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